120001220100 has 432 divisors, whose sum is σ = 414933442560. Its totient is φ = 28875571200.

The previous prime is 120001220057. The next prime is 120001220111. The reversal of 120001220100 is 1022100021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 53594781 + ... + 53597019.

It is an arithmetic number, because the mean of its divisors is an integer number (960494080).

Almost surely, 2^120001220100 is an apocalyptic number.

120001220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120001220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207466721280).

120001220100 is an abundant number, since it is smaller than the sum of its proper divisors (294932222460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120001220100 is a wasteful number, since it uses less digits than its factorization.

120001220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120001220100 its reverse (1022100021), we get a palindrome (121023320121).

It can be divided in two parts, 12000 and 1220100, that added together give a square (1232100 = 1110²).

The spelling of 120001220100 in words is "one hundred twenty billion, one million, two hundred twenty thousand, one hundred".